Question

HCF of 55 & 210 is 210a & 55b. Find the value of a & b.

Answer 1

Answer:HCF of 210 and 55

255= 55×3+45...(1)

55=45×1+10...(2)

45=10×4+5...(3)

10=5×2+0. remainder =0

HCF of 210 and 55 =5

NOW,from (3) we get,

45=10×4+5

45-10×4=5

45-(55-45)×4 =5 ....(from 2)

45-55×4+45×4=5

(210-55×3)5-55×4=5 ...(from 1)

210×5-55×15-55×4=5

5=210×5-55×19=210A+55B

therefore,

A=5 and B= -19

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